7973964432 has 120 divisors (see below), whose sum is σ = 26625156000. Its totient is φ = 2278269504.

The previous prime is 7973964407. The next prime is 7973964457. The reversal of 7973964432 is 2344693797.

It is an interprime number because it is at equal distance from previous prime (7973964407) and next prime (7973964457).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167182 + ... + 209517.

It is an arithmetic number, because the mean of its divisors is an integer number (221876300).

Almost surely, 2^7973964432 is an apocalyptic number.

7973964432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7973964432 is an abundant number, since it is smaller than the sum of its proper divisors (18651191568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7973964432 is a wasteful number, since it uses less digits than its factorization.

7973964432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376730 (or 376711 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 7973964432 is about 89297.0572415463. The cubic root of 7973964432 is about 1997.8280114200.

The spelling of 7973964432 in words is "seven billion, nine hundred seventy-three million, nine hundred sixty-four thousand, four hundred thirty-two".